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Question Number 69175 Answers: 1 Comments: 0

if two finite sets have m and n term.if the no of subset of first set is 112 more then the no of subset of second set.find m and n?

$${if}\:{two}\:{finite}\:{sets}\:{have}\:{m}\:{and}\:{n}\:{term}.{if}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{first}\:{set}\:{is}\:\mathrm{112}\:{more}\:{then}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{second}\:{set}.{find}\:{m}\:{and}\:{n}? \\ $$

Question Number 69168 Answers: 0 Comments: 0

Question Number 69167 Answers: 1 Comments: 0

Question Number 69133 Answers: 0 Comments: 1

∫(x − tanx)^2 dx = ?

$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\int\left(\boldsymbol{\mathrm{x}}\:−\:\boldsymbol{\mathrm{tanx}}\right)^{\mathrm{2}} \:\boldsymbol{\mathrm{dx}}\:\:=\:? \\ $$$$ \\ $$

Question Number 69130 Answers: 0 Comments: 3

9Σ_(k=4) ^n (1/(k^3 −6k^2 +11k−6))=?

$$\mathrm{9}\underset{\mathrm{k}=\mathrm{4}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{k}^{\mathrm{3}} −\mathrm{6k}^{\mathrm{2}} +\mathrm{11k}−\mathrm{6}}=? \\ $$$$\:\:\:\:\: \\ $$

Question Number 69123 Answers: 1 Comments: 0

Question Number 69116 Answers: 0 Comments: 0

Here are three propositions: − This sentence has exactly six words −There are two wrong propositions −The two previous sentences are correct Among that propositions ,how many are wrong? list them!

$$\:{Here}\:\:{are}\:{three}\:{propositions}:\: \\ $$$$−\:{This}\:{sentence}\:{has}\:{exactly}\:{six}\:{words} \\ $$$$−{There}\:{are}\:{two}\:{wrong}\:{propositions} \\ $$$$−{The}\:{two}\:{previous}\:{sentences}\:{are}\:{correct} \\ $$$$ \\ $$$${Among}\:{that}\:{propositions}\:,{how}\:{many}\:{are}\:{wrong}?\:{list}\:{them}! \\ $$

Question Number 69092 Answers: 1 Comments: 0

Question Number 69082 Answers: 1 Comments: 1

Solve x^2 = 16^x

$$\boldsymbol{{Solve}}\:\:\boldsymbol{{x}}^{\mathrm{2}} \:=\:\mathrm{16}^{\boldsymbol{{x}}} \\ $$

Question Number 69081 Answers: 2 Comments: 0

prove that tan ((3π)/7) −4sin (π/7) = (√7).

$${prove}\:{that} \\ $$$${tan}\:\frac{\mathrm{3}\pi}{\mathrm{7}}\:−\mathrm{4}{sin}\:\frac{\pi}{\mathrm{7}}\:=\:\sqrt{\mathrm{7}}. \\ $$

Question Number 69075 Answers: 0 Comments: 2

Question Number 69074 Answers: 0 Comments: 0

Question Number 69073 Answers: 0 Comments: 3

A man wants to shear 17 cars between his 3 children in the ratio 1:2, 1:3, 1:9 respectively.How will he go about it?

$${A}\:{man}\:{wants}\:{to}\:{shear}\:\mathrm{17}\:{cars}\:{between} \\ $$$${his}\:\mathrm{3}\:{children}\:{in}\:{the}\:{ratio}\:\mathrm{1}:\mathrm{2},\:\mathrm{1}:\mathrm{3},\:\mathrm{1}:\mathrm{9} \\ $$$${respectively}.{How}\:{will}\:{he}\:{go}\:{about}\:{it}? \\ $$

Question Number 69072 Answers: 0 Comments: 0

Question Number 69064 Answers: 1 Comments: 3

Question Number 69106 Answers: 0 Comments: 0

Question Number 69105 Answers: 0 Comments: 0

Question Number 69104 Answers: 0 Comments: 3

Question Number 69111 Answers: 1 Comments: 2

Question Number 69110 Answers: 0 Comments: 3

Evaluate ∫_(−∞) ^∞ ((cos(x))/(x^2 +1))dx

$${Evaluate}\:\int_{−\infty} ^{\infty} \frac{{cos}\left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$

Question Number 69098 Answers: 1 Comments: 3

Question Number 69046 Answers: 0 Comments: 4

Question Number 69045 Answers: 2 Comments: 0

Question Number 69034 Answers: 2 Comments: 0

Question Number 69044 Answers: 1 Comments: 0

1) let f(a) =∫(√(a+tanx))dx with a>0 find a explicit form for f(x) 2) find also g(a) =∫ (dx/(√(a+tanx))) 3)calculate ∫(√(2+tanx))dx and ∫ (dx/(√(2+tanx)))

$$\left.\mathrm{1}\right)\:{let}\:{f}\left({a}\right)\:=\int\sqrt{{a}+{tanx}}{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$${find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{also}\:{g}\left({a}\right)\:=\int\:\:\frac{{dx}}{\sqrt{{a}+{tanx}}} \\ $$$$\left.\mathrm{3}\right){calculate}\:\int\sqrt{\mathrm{2}+{tanx}}{dx}\:{and}\:\int\:\:\frac{{dx}}{\sqrt{\mathrm{2}+{tanx}}} \\ $$

Question Number 69027 Answers: 1 Comments: 2

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